RE: Remember when we thought we owned children?
Thank you for your insightful questions @lenskonig
1/ "This is the being from Sarah" / "I am the being from Sarah" / "This is the being from Sarah who is sister to the being I love, Clare". As for if it is useful to know this information. No, not very useful in the future.
2/ I feel the answer to the scenario you describe is that all larger beings present should try to be aware of all other beings present who are vulnerable. This is a more secure system. With the parent-child system, just one being is looking out for just one other being, but in the post-parent-child system, all beings are looking out for all beings. This feels more resilient to me. It's the difference between having two nodes in a network, which is vulnerable, or having multiple nodes, which is resilient.
3/ I think there is an alternative. Decentralized networks. Cryptocurrencies, for example, are a good mathematical demonstration of the improved resilience of non parent-child based systems.
4/ First, person 1 would ask this in the future: Person 1: "Hello friend, who is this being with whom you play?"
Person 2 would then reply : "They are us."
Person 1 might (if they were not fully in the future) say: "But who are they from?"
Person 2 might say, sympathetically,: "They are a being from the universe. But if you are asking in the old way, to draw my attention to old concepts of possessiveness, then they are the being from Sarah and Alex. But why do you ask where they are from now we are in the future? They are from us."
Thank you for your comment. It has helped me to evolve :)
These are good answers.
With regard to 3/ I was more wondering about folders in you computer. eg. Applications/Games/Braid where Applications and Games are 'parent' folders.
I have a further question: who decides if a baby is vaccinated?
Regarding 3/ The legacy naming system remains, but the social equivalent is gone in the future. Just as today, multiple hard disks are still sometimes termed 'master' and 'slave' in societies without human slaves (although arguably the quasi-communo-capitalist system today is one of obfuscated slavery).
Baby vaccinations are decided by local community, but not on a prescriptive level. Different local regions decide what customs are practiced in their micro-region.
However, this is never really an issue, because education levels are so high in the future, most citizens have a basic working knowledge of immunobiology. So, there is no need to impose any broad, authoritarian medical policies. Instead, most citizens are their own doctors and the community trusts itself to make good collective decisions. A big reason for this is that what you call 'money' no longer exists. There is no profit motive in the future, so there is no incentive to create 'medicines' that are harmful or ineffective.
Generally, it is a fundamental element of education in the future to understand how to operate and maintain your own human biocomputer.